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Finding the Third Proportional to 10,814,148 and 16,738,914

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Solution

The third proportional to 10,814,148 and 16,738,914 is: 25,909,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814,148 : 16,738,914 = 16,738,914 : x
  2. Step 2: Convert to fraction form
    10,814,148/16,738,914 = 16,738,914/x
  3. Step 3: Cross multiply
    10,814,148x = 16,738,914 × 16,738,914
  4. Step 4: Simplify right side
    10,814,148x = 280,191,241,899,396
  5. Step 5: Solve for x
    x = 280,191,241,899,396/10,814,148
  6. Step 6: Final answer
    x = 25,909,691.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.